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Finding the Fourth Proportional to 6,856.45, 10,283.05 and 2,958.73

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Solution

The fourth proportional to 6,856.45, 10,283.05 and 2,958.73 is: 4,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.45 : 10,283.05 = 2,958.73 : x
  2. Step 2: Convert to fraction form
    6,856.45/10,283.05 = 2,958.73/x
  3. Step 3: Cross multiply
    6,856.45x = 10,283.05 × 2,958.73
  4. Step 4: Simplify right side
    6,856.45x = 30,424,768.53
  5. Step 5: Solve for x
    x = 30,424,768.53/6,856.45
  6. Step 6: Final answer
    x = 4,437.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.